1325632000 has 320 divisors, whose sum is σ = 4136520960. Its totient is φ = 411648000.

The previous prime is 1325631997. The next prime is 1325632003. The reversal of 1325632000 is 2365231.

It is an interprime number because it is at equal distance from previous prime (1325631997) and next prime (1325632003).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1325632003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927866 + ... + 4928134.

It is an arithmetic number, because the mean of its divisors is an integer number (12926628).

Almost surely, 2^1325632000 is an apocalyptic number.

1325632000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068260480).

1325632000 is an abundant number, since it is smaller than the sum of its proper divisors (2810888960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1325632000 is an equidigital number, since it uses as much as digits as its factorization.

1325632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1325632000 is about 36409.2295991003. The cubic root of 1325632000 is about 1098.5192196425.

Adding to 1325632000 its reverse (2365231), we get a palindrome (1327997231).

The spelling of 1325632000 in words is "one billion, three hundred twenty-five million, six hundred thirty-two thousand".